THERMAL SCIENCE

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Tran Thanh Phong

,

Devendra Kumar

,

Le Dinh Long

IDENTIFYING OF UNKNOWN SOURCE TERM FOR THE RAYLEIGH-STOKES PROBLEM

ABSTRACT
In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields of heat and fluid-flows. However, our main focus is on study an inverse source problem for the Rayleigh-Stokes problem. The problem is severely ill-posed. We verify the ill-posedness of Problem 1, applying the modified Lavrentiev to construct a regularization from the exact data. After that, we established the convergent rate between the exact solution and its approximation. Furthermore, we have the estimate in Lq space.
KEYWORDS
unknown source, Rayler-Stokes problem, regularization method, inverse problem
PAPER SUBMITTED: 2022-02-25
PAPER REVISED: 2022-03-14
PAPER ACCEPTED: 2022-04-24
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1273P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [273 - 286]
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Identifying of unknown source term for the Rayleigh-Stokes problem

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence